Control theory in finite dimension:
optimal control, value function, singular trajectories,
stabilization, viscosity solutions. Theory and algorithms for
conjugate points. Numerical methods in optimal control, continuation
methods. Applications to aerospace problems.
Control theory in infinite
dimension: controllability, observability, stabilization of
PDEs. Numerical methods in optimal control. Image analysis. Shape
optimization, best actuator and sensor shape and location.
singular curves, genericity results. Sub-Riemannian geometry in
infinite dimension, shape analysis. Sub-Riemannian Laplacians,
spectral analysis, quantum ergodicity, canonical measures.
Some popularization conferences: